The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a standard deviation of $0.20. A study was done to test the claim that the mean cost of a daily newspaper is $1.00. Eleven costs yield a mean cost of $0.95 with a standard deviation of $0.18. Do the data support the claim at the 1% level?

Note: If you are using a Student’s t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, however.)

a)State the distribution to use for the test. (Round your answers to four decimal places.) X ~ N(____ , _____)

b)What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) Z=_____

c)What is the p-value? (Round your answer to four decimal places.)

d)Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. 

e)  Alpha:
? = 

f)Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your lower and upper bounds to two decimal places.)

The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a standard deviation of 20¢. A study was done to test the claim that the mean cost of a daily newspaper is $1.00. Twelve costs yield a mean cost of 95¢ with a standard deviation of 18¢. Do the data support the claim at the 1% level?  Test by using a confidence interval.  Show step1-step3.

Round a confidence interval to nearest hundredth.  

Please include the margin, that is the part I have the most confusion on, as well as the steps.

The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a standard deviation of 20¢. A study was done to test the claim that the mean cost of a daily newspaper is $1.00. Twelve costs yield a mean cost of 95¢ with a standard deviation of 18¢. Do the data support the claim at the 1% level?  Test by using a confidence interval.  Show step1-step3.

Round a confidence interval to nearest hundredth.  

The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a standard deviation of 6¢. A study was done to test the claim that the average cost of a daily newspaper is 35¢. Fourteen costs yield an average cost of 30¢ with a standard deviation of 4¢. Do the data support the claim at the 1% level?

Note: If you are using a Student’s t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

State the distribution to use for the test

What is the test statistic

What is the p-value?

Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your lower and upper bounds to two decimal places.)

The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a standard deviation of 20¢. A study was done to test the claim that the mean cost of a daily newspaper is $1.00. Twelve costs yield a mean cost of 95¢ with a standard deviation of 18¢. Do the data support the claim at the 1% level?  Test by using a confidence interval.  Show step1-step3.

Round a confidence interval to nearest hundredth.  

***Make sure to follow rounding rules and include step 1-3***